Barney has to run some errands around town. Look at the map below to calculate his distance if he starts at home, goes to the video store, then the grocery store, grabs a fast snack, and ends at home. How many units did he walk? (Please walk me through the question! With words please so i understand, i don't speak math)


14 units

21 units

28 units

35 units

Value of (F/G)(-3)  with the given functions F(x)=x² -19 and G(x) = 14 - x is equal to (-10/17).

As given,

Given functions

F(x)=x² -19

G(x)=14 - x

Substitute the values in the required function:

( F/G )(x)=( x² -19 )/( 14 - x)

Now substitute x= -3

( F/G )( -3) =[ (-3)² -19 ] /[ 14 - (-3) ]

⇒ ( F/G )(-3) =( 9-19) / (14+ 3)

⇒ ( F/G )(-3) =( -10/17)

Therefore, value of (F/G)(-3)  with the given functions F(x) = x² -19 and G(x) = 14 - x is equal to (-10/17).

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a. Because [tex]f[/tex] is even,

[tex]\displaystyle \int_{-7}^7 f(x) \, dx = 2 \int_0^7 f(x) \, dx = 18 \\\\ ~~~~ \implies \int_0^7 f(x) \, dx = \frac{18}2 = \boxed{9}[/tex]

b. The product of an even function [tex](f)[/tex] by an odd function [tex](x)[/tex] is an odd function, whose integral over a symmetric interval is zero.

[tex]\displaystyle \int_{-7}^7 xf(x) \, dx = \boxed{0}[/tex]

The roses that Leanna cut in her front yard is 28 roses.

From the information, she uses one quarter of her roses to make a bouquet of a dozen flowers. Therefore, the total flowers will be:

= 12 ÷ 1/4

= 12 × 4

= 48 flowers

Since she cuts some roses in her front garden and another 20 in her back garden, the number that she cut in the front garden will be:

= 48 - 20

= 28 flowers.

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just give an clearly answers

considering the distance between the center of the circle and the chord is perpendicular, pythagorean theorem can be applied to calculate the radius of the circle.

[tex]r^2=a^2+b^2[/tex] , r=radius, a=half of the chord length, b the distance between the center of the circle and the center of the chord

[tex]r^2=(4.5cm)^2+(5cm)^2\\r^2=20.25cm^2+25cm^2\\r^2=45.25cm^2\\r=\sqrt{45.25cm^2}\\r=6.7268cm[/tex]

The stoplights will change color after 720 seconds. at the same time again.

Given: Stoplights A and B alternate between changing colors every 45 and 80 seconds, respectively.

One copy of each of the unique components and the common factor make up the Least Common Multiple (LCM).

The least common multiple of 45 and 80 is the amount of seconds before they change color simultaneously once more.

Since 80 = 5 x 2 x 2 x 2 and 45 = 5 x 3 x 3 respectively

A least common multiple of 45 and 80 is equal to 2x2x2x2x3x3x5 = 720.

Hence, the color of the spotlight will change after 720 seconds. at the same time again.

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Step-by-step explanation:

by using formula a²-b²=a+b

a²b=a²-b² like this

Answer:

w = -0.8

sum = 0

Step-by-step explanation:

An additive inverse is when two numbers add up to 0. 0.8+ (-0.8) = 0.

Answer:

[tex]f'(a)=\frac{1}{2a^{3/2}+20a+50\sqrt{a}}[/tex]

Step-by-step explanation:

[tex]f'(x)=\frac{\frac{d}{dx} (\sqrt{x}+5)(1)-(\sqrt{x}+5)\frac{d}{dx}(1)}{(\sqrt{x}+5)^2} \\ \\ =\frac{\frac{1}{2\sqrt{x}}}{(\sqrt{x}+5)^2} \\ \\ =\frac{\frac{1}{2\sqrt{x}}}{x+10\sqrt{x}+25} \\ \\ =\frac{1}{2x^{3/2}+20x+50\sqrt{x}} \\ \\ \therefore f'(a)=\frac{1}{2a^{3/2}+20a+50\sqrt{a}}[/tex]

By using the concept of internal angles of a triangle, the solution of the system of linear equations related to the geometrical system is (x, y) = (40, 40).

In this system we have a geometrical system formed by two right triangles with a common hypotenuse. Right triangles are triangles where one of its internal angles are right angles and the sum of the measures of the internal angles within a triangle equals 180°. Then, this geometrical system can be modelled by using the following linear equations:

(x + 20) + 90 + 30 = 180         (1)

20 + 90 + (y + 30) = 180         (2)

By using the concept of internal angles of a triangle, the solution of the system of linear equations related to the geometrical system is (x, y) = (40, 40).

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The required ratio of students to teachers is 19: 1.          

Given that,
The total enrollment of male students and female students is 15,363 male and 19,512 female respectively.
The total number of full-time instructional faculty was 1,849.
To determine the ratio of students to teachers.

Here,
Total students = 15363 + 19512 = 34875
Number of teachers = 1849
Now,
Ratio = total students / teacher
Ratio = 34875 / 1849
Ratio = 19 : 1

Thus, the required ratio of students to teachers is 19 : 1.

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The observational study is the Cross-sectional studies.

It should be noted that an observational study is simply used to answer a research question that is based on what the researcher observes.

This is a cross-sectional studies because it analyzes a population of study at a specific point in time. It should be noted that this involves narrowing previously collected data to one point in time to test the prevalence of a theory.

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Answer:

Do I calculate the area?

Step-by-step explanation:

A) Matching the stages of a business life cycle in the correct order is as follows:

B) Matching the business life cycle to its description is as follows:

Exit Plan            The owner decides to sell.

Success            A business owner gets it running and introduces it

                          to the market in its attempt to catch the competition.

The business life cycle refers to the gradual progress of a business over its lifetime.

A business life cycle can be divided into five broad stages: launch, growth, shake-out, maturity, and decline.  Some management gurus classify the life cycle of a business into the following stages: Existence, Survival, Success, Take-off, and Resource Maturity.

Thus, a successful business declines after its maturity stage.

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Using the average rate of change concept, we have that:

The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

For item 1, when the time in minutes changes by 1, the height changes by 9.5 units, hence the rate is given by:

r = 9.5/1 = 9.5 feet per minute.

For item 2, we want a table with a rate of -3, hence, when the first column changes by 1, the second column should always change by -3, hence the table is:

A 2-column table with 4 rows. Column 1 is labeled x with entries negative 22, negative 21, negative 20, negative 19. Column 2 is labeled y with entries 2, negative 1, negative 4, negative 7.

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Answer:

-29

Step-by-step explanation:

x/2 - 5y + 1.5z
(10)/2 - 5(8) + 1.5(4)

5 - 40 + 6
-35 + 6
-29

Answer:

=10/2-5×8+1.5×4

=5-40+6.0

=-29

Answer:

the answer is $35.40 sir there you go

Step-by-step explanation:

that's the answer which is located above

Answer:

1.48 each

Step-by-step explanation:

you have to divide 7.40/5

There are 56 milligrams in 8 milliliters of the drug if the drug's label says each milliliter contains 7 milligrams of the substance.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Let x milligrams would in 8 ​milliliters.

We can write this as a ratio as

As per the given information,

1 milliliter  : 7 milligrams  = 8 milliliter   : x milligrams

⇒ 1 / 7 = 8 / x

⇒ x = 8 × 7

⇒ x = 56 milligrams

Hence, there are 56 milligrams in 8 ​milliliters of the drug.

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earth's difference= 65,233 ft

mars difference= 101,000 ft

greater one is= mars

difference of= 35,767 ft

Therefore, the ratio of the number of laptops to total computers is 2:7

Number of laptops repaired by a technician = 18

Number of desktops repaired by a technician = 24

Total number of computers = no of laptops + no of desktops

                                              = 18 + 24

                                              = 42

We have to determine the ratio of laptops to total computers as

= no of laptops / total no of computers

= 18 / 42

= 6 / 14

= 2 / 7

Therefore, the ratio of the number of laptops to total computers is 2:7

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to much long and I want brainliest

the salesperson will be paid $ 844.2 for the one pickup they sell for $ 18,760 as 4.5 % commission is theirs.

We are given that the selling price of a pick up item is given as:

Selling price = $ 18,760

Now, it is also given that, on every sale, the salesperson gain a commission of 4.5 % as their pay.

The money they get paid for one pick up that they sell will be calculated by finding the percentage. So, we get that:

Money = 4.5 % of $ 18,760

Money = 4.5 / 100 × $ 18,760

Money = 0.045 × $ 18,760

Money =  $ 844.2

Therefore, we get that, the salesperson will be paid $ 844.2 for the one pickup they sell for $ 18,760 as 4.5 % commission is theirs.

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Answer:

Adjacent Angles

Step-by-step explanation:

Angles ∠1 and ∠2 are next to each other so adjacent

Answer:

The scale factor is 4/3

Step-by-step explanation:

Let x = the scale factor

15x = 20  Divide both sides by 15

x =20/15  Which simplifies to 4/3

The scale factor that was used to create WH will be 4/3.

The scale factor is defined as the proportion of the new image's size to that of the previous image decision-making. Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

Given that BF is dilated to create WH. The center of dilation is point A where BF=15, WH=20

The scale factor will be calculated as below:-

Let x = the scale factor

15x = 20  

Divide both sides by 15

x =20/15  

Which simplifies to 4/3.

x = 4 / 3

Therefore, the scale factor that was used to create WH will be 4/3.

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Answer: i think its 1238 dollars

Step-by-step explanation:

We have the profit fomula:

P = R - C

= $10.x - ($3.x + 1000)

= $7.x - 1000

1. If the company sells 1000 pens:

P = $7 . 1000 - $1000

= $6000

2. If they want to break even:

P at least = 0

Assume P = 0

=> $7.x - $1000 = 0

=> x = 1000/7 ≈ 142,86

So if they want to break even, they have to sell at least 143 pens